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Simplifying 6(t + -4) = 4(t + 3) Reorder the terms: 6(-4 + t) = 4(t + 3) (-4 * 6 + t * 6) = 4(t + 3) (-24 + 6t) = 4(t + 3) Reorder the terms: -24 + 6t = 4(3 + t) -24 + 6t = (3 * 4 + t * 4) -24 + 6t = (12 + 4t) Solving -24 + 6t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -24 + 6t + -4t = 12 + 4t + -4t Combine like terms: 6t + -4t = 2t -24 + 2t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 -24 + 2t = 12 + 0 -24 + 2t = 12 Add '24' to each side of the equation. -24 + 24 + 2t = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 2t = 12 + 24 2t = 12 + 24 Combine like terms: 12 + 24 = 36 2t = 36 Divide each side by '2'. t = 18 Simplifying t = 18
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